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<p>Based on extension-shear coupled laminates and extension-twist coupled laminates with hygrothermal stability, a design methodology for extension-twist (E-T) coupled boxed structures has been developed. Analytical stiffness equations were derived for two configurations—utilizing extension-shear and bend-twist (E-S&amp;B-T) coupled laminates versus extension-twist and bend-twist (E-T&amp;B-T) coupled laminates—with necessary and sufficient hygrothermal stability conditions established for both single-fiber (carbon/epoxy) and interlayer hybrid (glass/carbon) systems. Using a GA-SQP hybrid algorithm, stacking sequences were optimized for 6–20 plies. The results reveal that the E‑T&amp;B‑T configuration yields a peak coupling coefficient approximately twice that of the E‑S&amp;B‑T configuration, with both exhibiting an optimal ply count (6–8 plies) beyond which coupling declines. Glass/carbon hybrid laminates achieve material cost savings of over 50% while retaining more than half of the peak coupling performance, demonstrating a near 1:1 performance‑cost trade‑off. Glass/carbon hybridization enables simultaneous enhancement of coupling performance and reduction of material cost—a principle broadly applicable to continuous fiber‑reinforced composite systems. Finite element simulations confirmed analytical twist predictions with deviations below 3%, and robustness analysis with ± 2° ply angle deviations showed 95% confidence intervals for |<i>k</i>| within ± 5%, confirming insensitivity to manufacturing tolerances. Experimental tensile tests on 14-ply carbon-fiber-reinforced structures demonstrated linear twist responses up to 1000 N, with deviations below 4% from predictions. The proposed synergistic optimization framework provides a validated pathway for designing hygrothermally stable, cost-effective E-T coupled composite structures with potential applications in advanced adaptive aerospace systems.</p>

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Design and Optimization of Asymmetric Laminated Composite Extension-Twist Coupled Boxed Structures

  • 期刊论文

  • 发表日期：

    2026年5月6日

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  • Da Cui,
  • Muyao Miao,
  • Qingwen Zhou,
  • Daokui Li

摘要

Based on extension-shear coupled laminates and extension-twist coupled laminates with hygrothermal stability, a design methodology for extension-twist (E-T) coupled boxed structures has been developed. Analytical stiffness equations were derived for two configurations—utilizing extension-shear and bend-twist (E-S&B-T) coupled laminates versus extension-twist and bend-twist (E-T&B-T) coupled laminates—with necessary and sufficient hygrothermal stability conditions established for both single-fiber (carbon/epoxy) and interlayer hybrid (glass/carbon) systems. Using a GA-SQP hybrid algorithm, stacking sequences were optimized for 6–20 plies. The results reveal that the E‑T&B‑T configuration yields a peak coupling coefficient approximately twice that of the E‑S&B‑T configuration, with both exhibiting an optimal ply count (6–8 plies) beyond which coupling declines. Glass/carbon hybrid laminates achieve material cost savings of over 50% while retaining more than half of the peak coupling performance, demonstrating a near 1:1 performance‑cost trade‑off. Glass/carbon hybridization enables simultaneous enhancement of coupling performance and reduction of material cost—a principle broadly applicable to continuous fiber‑reinforced composite systems. Finite element simulations confirmed analytical twist predictions with deviations below 3%, and robustness analysis with ± 2° ply angle deviations showed 95% confidence intervals for |k| within ± 5%, confirming insensitivity to manufacturing tolerances. Experimental tensile tests on 14-ply carbon-fiber-reinforced structures demonstrated linear twist responses up to 1000 N, with deviations below 4% from predictions. The proposed synergistic optimization framework provides a validated pathway for designing hygrothermally stable, cost-effective E-T coupled composite structures with potential applications in advanced adaptive aerospace systems.